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Calculus I
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Algebraic Structure Spotting
Grade Level
Calculus I
CAL1.21 Algebraic Structure Spotting
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Expression: √(x + 4) − 2 ──────── x Task: Select the algebraic structure to spot AND the best first simplification move.
A
Cancel x with the 2 immediately
B
Radical difference quotient; multiply by the conjugate √(x+4)+2 to create an x factor
C
Rewrite √(x+4) as √x + 2
D
Factor x from inside the radical
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